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Suppose that T is a set of formulas and A and B are two formulas. (a) Show that if TE AA B, then IF A and TF B. (b) Is it true that that IFAV B, then IE A or IF B? If yes, then give a (meta)proof. If no, then give counterexample for appropriately chosen I', A, B.

Suppose that T is a set of formulas and A and B are two formulas. (a) Show that if TE AA B, then IF A and TF B. (b) Is it true that that IFAV B, then IE A or IF B? If yes, then give a (meta)proof. If no, then give counterexample for appropriately chosen I', A, B.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Suppose that T is a set of formulas and A and B are two formulas. (a) Show that if TE A ^ B, then IF A and IT E B. (b) Is it true that that IFA V B, then IF A or TE B? If yes, then give a (meta)proof. If no, then give a counterexample for appropriately chosen I', A, B.
Transcribed Image Text:Suppose that T is a set of formulas and A and B are two formulas. (a) Show that if TE A ^ B, then IF A and IT E B. (b) Is it true that that IFA V B, then IF A or TE B? If yes, then give a (meta)proof. If no, then give a counterexample for appropriately chosen I', A, B.
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